Volume of Prisms and Cylinders

Volume of Prisms and Cylinders

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Definition

Volume - the amount of space that an object occupies/contains

How to find the Volume of a Prism

Volume is equal to the "area of the Base" times "height"

V = Bh

B -> Area of the base shape

-> different from lowercase b (base of the shape)

Multiple Choice

The volume formulas of a cylinder and prism are the SAME.

• True

• False

Multiple Choice

The volume formula of a prism is...

• V = 2Bh

• V = ½Bh

• V = Bh

• V = Bh²

Example 1

The area of the hexagonal base of this prism is 23 in². The height of the prism is 7 in. What is the volume of the prism?

V = Bh

V = (23) * (7)

V = 161 in³

Multiple Choice

In the diagram, the area of the pentagonal base is 43 mm². Find the volume of the pentagonal prism.

• 129 mm³

• 345 mm³

• 645 mm³

• 27,735mm³

Multiple Choice

The volume formula of a cylinder is...

• V = πr²

• V = Bhπ

• V = Bh

• V = πh²

Example 2

Fill in the Blank

Find the volume of the figure. Round to the nearest tenth.

NUMBER ONLY

Example 3

Fill in the Blank

Find the volume of the cylinder.

Use 3.14 for PI

NUMBER ONLY

.

Fill in the Blank

What is the volume of this prism?

NUMBER ONLY

Fill in the Blank

What is the volume of this prism?

Multiple Choice

What is the volume of this cylinder?

• 42π in³

• 21π in³

• 63π in³

• 84π in³

Multiple Choice

The volume of a cylinder is 396 $$\pi$$ cubic inches.  The height of the cylinder is 11 inches.  What is the diameter of the cylinder?

• 6 inches

• 12 inches

• 3 inches

• 17 inches

Multiple Choice

This trough is filled with water.  If 1 cubic foot holds  7.5 gallons, how much water will fill the trough?

• 21.5 gallons
• 112.5 gallons
• 133 gallons
• 150 gallons

Multiple Choice

Find the height of a tissue box if the volume of a tissue box is 3140.28 cm³ and length is 22 cm and width is 12.2 cm.

• 11.7 cm

• 12 cm

• 34.2 cm

• 45.9 cm